Polynomial fusion rings of W-extended logarithmic minimal models

Rasmussen, Jorgen (2009) Polynomial fusion rings of W-extended logarithmic minimal models. Journal of Mathematical Physics, 50 4: 043512.1-043512.46. doi:10.1063/1.3093265

Attached Files (Some files may be inaccessible until you login with your UQ eSpace credentials)
Name Description MIMEType Size Downloads
UQ269849_OA.pdf Full text (open access) application/pdf 870.71KB 0

Author Rasmussen, Jorgen
Title Polynomial fusion rings of W-extended logarithmic minimal models
Formatted title
Polynomial fusion rings of W-extended logarithmic minimal models
Journal name Journal of Mathematical Physics   Check publisher's open access policy
ISSN 0022-2488
Publication date 2009-04
Sub-type Article (original research)
DOI 10.1063/1.3093265
Open Access Status File (Publisher version)
Volume 50
Issue 4
Start page 043512.1
End page 043512.46
Total pages 46
Place of publication College Park, MD, United States
Publisher American Institute of Physics
Language eng
Formatted abstract
The countably infinite number of Virasoro representations of the logarithmic minimal model LM(p,p′) can be reorganized into a finite number of W-representations with respect to the extended Virasoro algebra symmetry W. Using a lattice implementation of fusion, we recently determined the fusion algebra of these representations and found that it closes, albeit without an identity for p>1. Here, we provide a fusion-matrix realization of this fusion algebra and identify a fusion ring isomorphic to it. We also consider various extensions of it and quotients thereof and introduce and analyze commutative diagrams with morphisms between the involved fusion algebras and the corresponding quotient polynomial fusion rings. One particular extension is reminiscent of the fundamental fusion algebra of LM(p,p′) and offers a natural way of introducing the missing identity for p>1. Working out explicit fusion matrices is facilitated by a further enlargement based on a pair of mutual Moore–Penrose inverses intertwining between the W-fundamental and enlarged fusion algebras.
Keyword Lattice theory
Matrix algebra
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Non-UQ

Document type: Journal Article
Sub-type: Article (original research)
Collection: School of Mathematics and Physics
Version Filter Type
Citation counts: TR Web of Science Citation Count  Cited 14 times in Thomson Reuters Web of Science Article | Citations
Scopus Citation Count Cited 12 times in Scopus Article | Citations
Google Scholar Search Google Scholar
Created: Wed, 14 Mar 2012, 12:25:57 EST by Kay Mackie on behalf of Mathematics